4.3. A zero-seeking device operates as follows: If it is in state j at time n, then...

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4.3. A zero-seeking device operates as follows: If it is in state j at time n, then at time n + 1, its position is 0 with probability 1/j, and its position is k (where k is one of the states 1, 2, . . . , j - 1) with probability 2k/j2.

Find the expected time until the device first hits zero starting from state m.

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An Introduction To Stochastic Modeling

ISBN: 9780126848878

3rd Edition

Authors: Samuel Karlin, Howard M. Taylor

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